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Finding the Third Proportional to 306,067 and 667,234

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Solution

The third proportional to 306,067 and 667,234 is: 1,454,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,067 : 667,234 = 667,234 : x
  2. Step 2: Convert to fraction form
    306,067/667,234 = 667,234/x
  3. Step 3: Cross multiply
    306,067x = 667,234 × 667,234
  4. Step 4: Simplify right side
    306,067x = 445,201,210,756
  5. Step 5: Solve for x
    x = 445,201,210,756/306,067
  6. Step 6: Final answer
    x = 1,454,587.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.